Question: Matthew and Mark work for AMG, and want to do some aggregate planning using Level Production without Backorders for the manufacturing of brake calipers for
Matthew and Mark work for AMG, and want to do some aggregate planning using "Level Production without Backorders" for the manufacturing of brake calipers for Mercedes Benz GLS63 SUV's. They figure the front brake calipers take 14 hours to forge and assemble while the rear calipers take 9 hours to forge and assemble. They pay their people $28.00 per hour and it costs them $1,100 to hire and $1,300 to fire each employee. They currently employ 6 people and have 183 front calipers in inventory and 133 rear calipers in inventory. Inventory carrying costs are $9.00 per labor hour. Assume 40 hours per week and 4 weeks per month. Please disregard rounding errors and select the closest answer.
The following is the 6 month demand forecast in units:
| Month | 1 | 2 | 3 | 4 | 5 | 6 |
| Front Calipers | 200 | 750 | 330 | 550 | 240 | 240 |
| Rear Calipers | 230 | 730 | 340 | 500 | 250 | 220 |
You will need to first figure what the level production amount will be using the following information over 6 periods:
1 2 3 4 5 6
Cumulative Demand
Beginning Inventory (Constant using the inventory levels given)
Total Cumulative Production
Monthly Production
Use the following model to construct your analysis:
1 2 3 4 5 6
Beginning Inventory
Demand
Production
Ending Inventory
Hire Costs
Fire Costs
Wage Costs
Inventory Costs
Total Costs
1. What is the cumulative demand for all periods in labor hours?
A. 50,500
B. 52,770
C. 36,680
D. 29,350
2. What is the level production amount in labor hours?
A. 5,089
B. 6,880
C. 9,099
D. 9,515
3. How many employees will they need to hire (or fire)?
A. Hire 26
B. Hire 51
C. Hire 54
D. Fire 2
4. What is the hiring (or firing) cost in Period 1?
A. $40,700
B. $33,300
C. $59,400
D. $56,100
5. What is the total cost for implementing this plan?
A. $1,873,280
B. $1,308,068
C. $1,125,689
D. $1,768,524
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